313312944 has 80 divisors (see below), whose sum is σ = 928099328. Its totient is φ = 89220096.

The previous prime is 313312943. The next prime is 313312997. The reversal of 313312944 is 449213313.

It is not an unprimeable number, because it can be changed into a prime (313312943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111849 + ... + 114615.

Almost surely, 2^313312944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313312944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464049664).

313312944 is an abundant number, since it is smaller than the sum of its proper divisors (614786384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313312944 is a wasteful number, since it uses less digits than its factorization.

313312944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122 (or 3116 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 313312944 is about 17700.6481237270. The cubic root of 313312944 is about 679.1923398243.

The spelling of 313312944 in words is "three hundred thirteen million, three hundred twelve thousand, nine hundred forty-four".